Abstract

On the basis of our present knowledge of the distribution of natural haze particles in the atmosphere, the relation between backscatter intensity and the visual range, or the extinction coefficient, has been analyzed. It can be shown that the various processes which cause the changes in visibility (increasing particle number, changes in particle size distribution, etc.) result in rather different backscatter conditions. Only by a combination of such processes is it possible to explain a relation between backscatter and extinction coefficient as it can be derived from experimental data. It therefore becomes clear that such a relation cannot be a unique one and that it will change from one situation to another.

© 1966 Optical Society of America

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References

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  1. H. Koschmieder, Beitr. Phys. freien Atmosph. 12, 33, 171 (1924).
  2. J. A. Curcio, G. L. Knestrick, T. H. Cosden, Naval Res. Lab. Rept. No. 5143 (1958).
  3. J. A. Curcio, G. L. Knestrick, J. Opt. Soc. Am. 48, 10, 686 (1958).
    [CrossRef]
  4. M. H. Horman, J. Opt. Soc. Am. 51, 6, 681 (1961).
    [CrossRef]
  5. S. Twomey, H. B. Howell, Appl. Opt. 4, 501 (1965).
    [CrossRef]
  6. L. Foitzik, H. Zschaeck, Z. Meteorol. 7, 1 (1953).
  7. C. Junge, Ber. Wetterd. 35, 306 (1952).
  8. O. D. Barteneva, Bull. Acad. Sci. USSR No. 12, 1, 852 (1960).

1965

1961

M. H. Horman, J. Opt. Soc. Am. 51, 6, 681 (1961).
[CrossRef]

1960

O. D. Barteneva, Bull. Acad. Sci. USSR No. 12, 1, 852 (1960).

1958

J. A. Curcio, G. L. Knestrick, J. Opt. Soc. Am. 48, 10, 686 (1958).
[CrossRef]

1953

L. Foitzik, H. Zschaeck, Z. Meteorol. 7, 1 (1953).

1952

C. Junge, Ber. Wetterd. 35, 306 (1952).

1924

H. Koschmieder, Beitr. Phys. freien Atmosph. 12, 33, 171 (1924).

Barteneva, O. D.

O. D. Barteneva, Bull. Acad. Sci. USSR No. 12, 1, 852 (1960).

Cosden, T. H.

J. A. Curcio, G. L. Knestrick, T. H. Cosden, Naval Res. Lab. Rept. No. 5143 (1958).

Curcio, J. A.

J. A. Curcio, G. L. Knestrick, J. Opt. Soc. Am. 48, 10, 686 (1958).
[CrossRef]

J. A. Curcio, G. L. Knestrick, T. H. Cosden, Naval Res. Lab. Rept. No. 5143 (1958).

Foitzik, L.

L. Foitzik, H. Zschaeck, Z. Meteorol. 7, 1 (1953).

Horman, M. H.

M. H. Horman, J. Opt. Soc. Am. 51, 6, 681 (1961).
[CrossRef]

Howell, H. B.

Junge, C.

C. Junge, Ber. Wetterd. 35, 306 (1952).

Knestrick, G. L.

J. A. Curcio, G. L. Knestrick, J. Opt. Soc. Am. 48, 10, 686 (1958).
[CrossRef]

J. A. Curcio, G. L. Knestrick, T. H. Cosden, Naval Res. Lab. Rept. No. 5143 (1958).

Koschmieder, H.

H. Koschmieder, Beitr. Phys. freien Atmosph. 12, 33, 171 (1924).

Twomey, S.

Zschaeck, H.

L. Foitzik, H. Zschaeck, Z. Meteorol. 7, 1 (1953).

Appl. Opt.

Beitr. Phys. freien Atmosph.

H. Koschmieder, Beitr. Phys. freien Atmosph. 12, 33, 171 (1924).

Ber. Wetterd.

C. Junge, Ber. Wetterd. 35, 306 (1952).

Bull. Acad. Sci. USSR

O. D. Barteneva, Bull. Acad. Sci. USSR No. 12, 1, 852 (1960).

J. Opt. Soc. Am.

J. A. Curcio, G. L. Knestrick, J. Opt. Soc. Am. 48, 10, 686 (1958).
[CrossRef]

M. H. Horman, J. Opt. Soc. Am. 51, 6, 681 (1961).
[CrossRef]

Z. Meteorol.

L. Foitzik, H. Zschaeck, Z. Meteorol. 7, 1 (1953).

Other

J. A. Curcio, G. L. Knestrick, T. H. Cosden, Naval Res. Lab. Rept. No. 5143 (1958).

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Figures (3)

Fig. 1
Fig. 1

Relation between backscattering intensity and extinction coefficient for various aerosol processes.

Fig. 2
Fig. 2

Relation between backscattering intensity and extinction coefficient if the aerosol size distribution changes due to coagulation.

Fig. 3
Fig. 3

Relation between backscattering and extinction coefficient as derived from data by Barteneva (ref. 8).

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

R λ ( energy unit area ) = i 0 , λ · λ 2 4 π 2 · X 0 i λ , 180 ( X ) · 1 X 2 · e - 2 X 0 X σ ( x ) d x .
R λ = i 0 , λ λ 2 4 π 2 · i λ , 180 · X 0 e - 2 σ X X 2 d X .
V = 3.9 / σ = c ( i 180 ) - 0.92 .

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